Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation
Artikel i vetenskaplig tidskrift, 2015
A fully non-linear kinetic Boltzmann equation for anyons
is studied in a periodic 1d setting with large initial data.
Strong L1 solutions are obtained for the Cauchy problem.
The main results concern global existence, uniqueness,
conservation of mass, momentum and energy, and stability.
quantum Boltzmann equation
Haldane statistics
anyon
low temperature kinetic theory
Författare
Leif Arkeryd
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Matematik
Anne Nouri
Institut de Mathematiques de Marseille
SIAM Journal on Mathematical Analysis
0036-1410 (ISSN) 10957154 (eISSN)
Vol. 47 6 4720-4742Styrkeområden
Nanovetenskap och nanoteknik
Ämneskategorier
Beräkningsmatematik
Fundament
Grundläggande vetenskaper
DOI
10.1137/15M1012335
Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University: 2014:16